Answer To (b): 10 sandwiches in 20 minutes. But If Your Friend Arrived 10 Minutes Earlier, Then He Can Make 20 Sandwiches In The 20 Minutes That You Are There. If He Started When He Arrived And The Twenty Minutes Started Then, You Can Only Make 5.
So, 9 out of 10 students prefer class, so, obviously, it would not be 100. It would be 150. So in conclusion, 50 students prefer lunch over math class, whilst 150 other students prefer math class over lunch.
Answer:
The zero would be -2.714 (x-intercept)
Answer:
![\frac{dv}{dt} =7239.168 cm/sec](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D7239.168%20cm%2Fsec)
Step-by-step explanation:
From the question we are told that:
Rate ![\frac{dh}{dt}=1cm](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D1cm)
Height ![h=12cm](https://tex.z-dn.net/?f=h%3D12cm)
Radius ![r=4h](https://tex.z-dn.net/?f=r%3D4h)
Generally the equation for Volume of Cone is mathematically given by
![V=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
![V=\frac{1}{3}\pi (4h)^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%284h%29%5E2h)
Differentiating
![\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D%5Cfrac%7B16%7D%7B3%7D%5Cpi3h%5E2%5Cfrac%7Bdh%7D%7Bdt%7D)
![\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D%5Cfrac%7B16%7D%7B3%7D%2A3.142%2A3%2A12%5E2%2A1)
![\frac{dv}{dt} =7239.168 cm/sec](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D7239.168%20cm%2Fsec)
3/5 × 20/1 = 12 because 3×20 is 60 and 5×1 is 5 so 60/5 and that simplifies to 12